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Finding the Third Proportional to 167,458,665 and 226,180,381.50

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Solution

The third proportional to 167,458,665 and 226,180,381.50 is: 305,493,686.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,458,665 : 226,180,381.50 = 226,180,381.50 : x
  2. Step 2: Convert to fraction form
    167,458,665/226,180,381.50 = 226,180,381.50/x
  3. Step 3: Cross multiply
    167,458,665x = 226,180,381.50 × 226,180,381.50
  4. Step 4: Simplify right side
    167,458,665x = 51,157,564,975,485,544
  5. Step 5: Solve for x
    x = 51,157,564,975,485,544/167,458,665
  6. Step 6: Final answer
    x = 305,493,686.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.